Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Imamoglu, Özlem"'
We compute analogues of twisted traces of CM values of harmonic modular functions on hyperbolic $3$-space and show that they are essentially given by Fourier coefficients of the $j$-invariant. From this we deduce that the twisted traces of these harm
Externí odkaz:
http://arxiv.org/abs/2407.01368
Gross, Kohnen and Zagier proved an averaged version of the algebraicity conjecture for special values of higher Green's functions on modular curves. In this work, we study an analogous problem for special values of Green's functions on hyperbolic $3$
Externí odkaz:
http://arxiv.org/abs/2405.01219
In this article we give a Jensen-Rohrlich type formula for a certain class of automorphic functions on the hyperbolic 3-space for the group $\mathrm{PSL}_2(\mathcal{O}_K)$.
Comment: To appear in Transactions of the American Mathematical Society
Comment: To appear in Transactions of the American Mathematical Society
Externí odkaz:
http://arxiv.org/abs/1804.07930
The Shimura correspondence connects modular forms of integral weights and half-integral weights. One of the directions is realized by the Shintani lift, where the inputs are holomorphic differentials and the outputs are holomorphic modular forms of h
Externí odkaz:
http://arxiv.org/abs/1711.08907
We improve the results from [EBS10] about the Eisenstein series $E_2(z)=1-24\sum_{n=1}^\infty \frac{nq^n}{1-q^n}$. In particular we show that there exists exactly one (simple) zero in each Ford circle and give an approximation to its location.
C
C
Externí odkaz:
http://arxiv.org/abs/1312.3119
We employ spectral methods of automorphic forms to establish a holomorphic projection operator for tensor products of vector-valued harmonic weak Maass forms and vector-valued modular forms. We apply this operator to discover simple recursions for Fo
Externí odkaz:
http://arxiv.org/abs/1306.3919
We show that if a real trigonometric polynomial has few real roots, then the trigonometric polynomial obtained by writing the coefficients in reverse order must have many real roots. This is used to show that a class of random trigonometric polynomia
Externí odkaz:
http://arxiv.org/abs/0812.1752
Autor:
Imamoglu, Özlem, O'Sullivan, Cormac
Following Petersson, we study the parabolic, hyperbolic and elliptic expansions of holomorphic cusp forms and the associated Poincar\'e series. We show how these ideas extend to the space of second-order cusp forms.
Comment: 28 pages
Comment: 28 pages
Externí odkaz:
http://arxiv.org/abs/0806.4398
Publikováno v:
Proceedings of the National Academy of Sciences of the United States of America, 2014 Mar . 111(11), 3961-3967.
Externí odkaz:
https://www.jstor.org/stable/23770966
Publikováno v:
Proceedings of the American Mathematical Society, 2009 May 01. 137(5), 1835-1839.
Externí odkaz:
https://www.jstor.org/stable/20535929